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Q: (V3+i) (-2+\3i (-1+V5)' Solve by using De Moivre's theorem and write the result in form of x+ yi whe...

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Q: Explain whether S = {(1,0,0), (0,2,0), (–4,0,1), (0,5,0)} is a basis for R³ or not.

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Q: Q2: Find the Inverse Laplace Transform 1 E* 2(s – 1)2 + 32 L-1

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Q: =e : co3(1+i) cos(Iti).

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Q: Express the following functions in the form u+iv J. f(Z)= In CI+z) %3D

A: We need to express the function f(z)=ln(1+z) in the form U+iV

Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is...

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Q: 6. Evaluate the fallowing real integrals by residue theerem 3 I = J - Sín O do; a>l ans: 27(a- Ja?i)...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: D' +4]y=sinx, using reduction of order

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Q: 16. Matrix Properties. Consider the following matrices: 2 0 50 1 1 2 A = 3 1 1 B = 2 3 -1 C = 2 3 -1...

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Q: Adding Find 2등 + 1.

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Q: Explain whether S = {1, 2x, x´ – 4, 5x} is a basis for P2 or not

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Q: Q1) By using transformations of mother functions, sketch the following curves and determine the rang...

A: We will find out the required value.  

Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is...

A: To find the inverse Laplace transformation of the below function. Fs=s+13s4

Q: Obtain the general solution and the particular solution (if applicable) of the following nonhomogene...

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Q: xyy' + y? – 2x?y5 = 0,x = 1, y = 1 2,5 %3D Express your solution in general form where the constant ...

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Q: Obtain the general solution and the particular solution (if applicable) of the following nonhomogene...

A: Given: y''-4y'-12y=3e5t+sin(2t)+te4t To find: Solution of given differential equation.

Q: Q1: Find 1) l (3 + e6t)2 2) l {e¬3t (t + 1)²} 3) е sin 3x dx dt 0. 0. 4) l (3t5) 5) l (e5t + cos 3t)

A: We can solve these problems by Laplace transforms.

Q: Q1) By using transformations of mother functions, sketch the following curves and determine the rang...

A: AS PER OUR BARTLEBY COMPANY GUIDELINES, WE ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUES...

Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is...

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Q: Consider a two-dimension plane in which we mark the lines y = n for nɛ Z. We now randomly “drop a ne...

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Q: Find the Laplace Transform L (e-t sin t)

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Q: Exercises: Draw the figures showing an element of area and find the area bounded by the given curve/...

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Q: Find the adjacency matrix of the given directed multigraph with respect to the vertices listed in al...

A: Finding the adjacency matrix from the given directed multigraph. In the adjacency matrix we write th...

Q: How do I get the result or the result inside the circle Lel, tan (2) = t » tant = 7 Sint it et git C...

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Q: The price of an item will increase by RM4 every month. If the current price is RM258,find its price ...

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Q: Let Y be a subspace of a space X. 1) Let B be a basis for X and B' = {Y n G,G E B}, show that B' bas...

A: As per bartleby, Q/A guidelines we are only allowed to do the first question if multiple questions a...

Q: 1.1 Given two points with co-ordinates (r1,y1) and (x2,y2), there is a unique straight line connecti...

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a ti...

Q: (D' + D)y= tan x. Ans.: y =C +C_cosx+C_ sinx-In sin x- sin x.In(sec.x+ tan x).

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Q: 3 (z- i) +1 dz, - (z – i)? where C is a closed contour traversed once in the counter-clockwise direc...

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Q: 5- e( 3 sinh 2t - 5 cosh 2t) 6- 4 cos 2t 7- e-t sin? t 8- Lf"(t) = tan-1O , f0)=2 , f'(0)=-l find L ...

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Q: Obtain the general solution and the particular solution (if applicable) of the following nonhomogene...

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Q: Find the Fourier expansion of f(x) = 3–x ; 0<xs 2n; |D

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Q: Determine the number of integral solutions to the system x1 + x2 + x3 + x4 + x5 = = 25, X1 + x2 = 10...

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Q: (D - 3D% Dy+ 4 Dg )u = e+ Ans. u= 中ーx)+中2+2x)+x中2iy+2x)+ る ×2 +る

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Q: Exercises: Draw the figures showing an element of area and find the area bounded by the given curve/...

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Q: 4 cos z Evaluate S 16-y2 ydxdydz

A: To solve the given triple integral ∫0π∫04cosz∫016−y2ydxdydz    ∫0π∫04cosz∫016−y2ydxdydz=∫0π∫04cosz∫0...

Q: 64. Use the finite Fourier cosine transform to solve the heat conduction problem t> 0, 0 0, where u...

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Q: fiz) = 32+52-6i analyHici by ef the fallowing functions !!

A: To check a function is analytical  then if the function satisfied C-R eqaution then he function us a...

Q: Obtain the general solution and the particular solution (if applicable) of the following nonhomogene...

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Q: A machine costing RM100 000 depreciates RM10 000 for the first year,RM9 000 for the second year ,RM8...

A: We know

Q: 3. Find the Fourier transform of (a) f (x) = (b) f (x) = x|

A: To find the Fourier transform of function f(x)=1x

Q: Q12] Evaluate by the methods of this chapter. Show details. do 13 5 sin 0 27T sin 0 do 34 16 sin 0 0...

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Q: If f(0) = 0 and f"(x) exists for all x>0, then show that %3D f(x) 1 %3D xf"(5), 0 < § < x. f'(x) – A...

A: Given that,f0=0 and f''x exists for all x&gt;0We need to prove thatf'x-fxx=12xf''ξ, 0&lt;ξ&lt;xandIf...

Q: (7) show that the. following Complex functron is discontinuous at z= 3. { fCZ) = スー %3D 3. %3D

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Q: How many linear extensions does the following poset have? Fig. 16.7 How many linear extensions does ...

A: First linearise this graph

Q: Express the following functions in the form Utiv J.f(2)= In CI+z)

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Q: Examine the convergence of the following seriesWith excel program. S'en)! n!n! n=1 Use ratio test me...

A: To use ratio test to determine the convergence of the below series. ∑n=1∞2n!n!n!

Q: A4For any two finite sets A and B, define f(A,B) to be the number of elements that are contained eit...

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Q: Q26] Evaluate the following line integral. The line is T: z(t) = Log (2)+i (t7/3 – T1/6), %3D 0<t<1....

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Q: Q1] A complex-valued function is given as in the following (z + j)(z + 1) 2. z # 1 f(z) = z2 + 1 %3D...

A: Note:-  1.    j2=-1                2.   z2+1=z+jz-j   Given function is fz= 2z+jz+1z2+1,z≠1  j,z=1  ...